This is the wrong section.. Also, you may want to clarify your question a bit. I understand that you want for some group where is one of the following . But you never gave the group.
Cyclic groups of finite order are always isomorphic to the integers mod n
under addition.
Here is a link to the wiki on cyclic groups
Cyclic group - Wikipedia, the free encyclopedia
Note that cyclic groups always have generators where is the Euler Phi function
Euler's totient function - Wikipedia, the free encyclopedia